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Finding the Third Proportional to 170,498 and 371,524

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Solution

The third proportional to 170,498 and 371,524 is: 809,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,498 : 371,524 = 371,524 : x
  2. Step 2: Convert to fraction form
    170,498/371,524 = 371,524/x
  3. Step 3: Cross multiply
    170,498x = 371,524 × 371,524
  4. Step 4: Simplify right side
    170,498x = 138,030,082,576
  5. Step 5: Solve for x
    x = 138,030,082,576/170,498
  6. Step 6: Final answer
    x = 809,570.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.